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210202242344001 = 3337845232489413
BaseRepresentation
bin101111110010110110000101…
…111111000110010001000001
31000120021010201200111212121000
4233302312011333012101001
5210022423143020002001
62023021324345522213
762163416343355155
oct5762660577062101
91016233650455530
10210202242344001
1160a822a7929826
121b6aa7297a3369
139039ca917262b
1439c9bb2975065
151947c99239a86
hexbf2d85fc6441

210202242344001 has 32 divisors (see below), whose sum is σ = 319831147982720. Its totient is φ = 136345732529472.

The previous prime is 210202242343999. The next prime is 210202242344011. The reversal of 210202242344001 is 100443242202012.

It is a happy number.

210202242344001 is a `hidden beast` number, since 2 + 1 + 0 + 2 + 0 + 2 + 24 + 234 + 400 + 1 = 666.

It is not a de Polignac number, because 210202242344001 - 21 = 210202242343999 is a prime.

It is a super-2 number, since 2×2102022423440012 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (210202242344011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83193771 + ... + 85683183.

It is an arithmetic number, because the mean of its divisors is an integer number (9994723374460).

Almost surely, 2210202242344001 is an apocalyptic number.

It is an amenable number.

210202242344001 is a deficient number, since it is larger than the sum of its proper divisors (109628905638719).

210202242344001 is a wasteful number, since it uses less digits than its factorization.

210202242344001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2573982 (or 2573976 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 210202242344001 its reverse (100443242202012), we get a palindrome (310645484546013).

The spelling of 210202242344001 in words is "two hundred ten trillion, two hundred two billion, two hundred forty-two million, three hundred forty-four thousand, one".

Divisors: 1 3 9 27 37 111 333 999 84523 253569 760707 2282121 2489413 3127351 7468239 9382053 22404717 28146159 67214151 84438477 92108281 276324843 828974529 2486923587 210412654999 631237964997 1893713894991 5681141684973 7785268234963 23355804704889 70067414114667 210202242344001